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Finding the Fourth Proportional to 162,551.20, 243,729.60 and 83,819.20

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Solution

The fourth proportional to 162,551.20, 243,729.60 and 83,819.20 is: 125,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,551.20 : 243,729.60 = 83,819.20 : x
  2. Step 2: Convert to fraction form
    162,551.20/243,729.60 = 83,819.20/x
  3. Step 3: Cross multiply
    162,551.20x = 243,729.60 × 83,819.20
  4. Step 4: Simplify right side
    162,551.20x = 20,429,220,088.32
  5. Step 5: Solve for x
    x = 20,429,220,088.32/162,551.20
  6. Step 6: Final answer
    x = 125,678.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.